The Ingalls-Thomas Bijections

Given a finite acyclic quiver Q with path algebra kQ, Ingalls and Thomas have exhibited a bijection between the set of Morita equivalence classes of support-tilting modules and the set of thick subcategories of mod kQ and they have collected a large number of further bijections with these sets. We add some additional bijections and show that all these bijections hold for arbitrary hereditary artin algebras. The proofs presented here seem to be of interest also in the special case of the path algebra of a quiver.Comment: This is a modified version of an appendix which was written for the paper "The numbers of support-tilting modules for a Dynkin algebra" (see arXiv:1403.5827v1

On Products of Generalised Supersoluble Finite Groups

[EN] In this paper, mutually sn-permutable subgroups of groups belonging to a class of generalised supersoluble groups are studied. Some analogs of known theorems on mutually sn-permutable products are established.This research project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, under grant no.(RG-10-130-37). The first and second authors, therefore, acknowledge with thanks DSR for technical and financial support. The first and third authors are supported by Prometeo/2017/057 of Generalitat (Valencian Community, Spain).Ballester-Bolinches, A.; Fakieh, WM.; Pedraza Aguilera, MC. (2019). On Products of Generalised Supersoluble Finite Groups. Mediterranean Journal of Mathematics. 16(2):1-7. https://doi.org/10.1007/s00009-019-1323-0S1716

Reevaluation of the role of Pex1 and dynamin-related proteins in peroxisome membrane biogenesis

A recent model for peroxisome biogenesis postulates that peroxisomes form de novo continuously in wild-type cells by heterotypic fusion of endoplasmic reticulum–derived vesicles containing distinct sets of peroxisomal membrane proteins. This model proposes a role in vesicle fusion for the Pex1/Pex6 complex, which has an established role in matrix protein import. The growth and division model proposes that peroxisomes derive from existing peroxisomes. We tested these models by reexamining the role of Pex1/Pex6 and dynamin-related proteins in peroxisome biogenesis. We found that induced depletion of Pex1 blocks the import of matrix proteins but does not affect membrane protein delivery to peroxisomes; markers for the previously reported distinct vesicles colocalize in pex1 and pex6 cells; peroxisomes undergo continued growth if ission is blocked. Our data are compatible with the established primary role of the Pex1/Pex6 complex in matrix protein import and show that peroxisomes in Saccharomyces cerevisiae multiply mainly by growth and division

The use of motivational strategies in the Saudi EFL classroom

Research Doctorate - Doctor of Philosophy (PhD)This study examined longitudinally the effectiveness of some motivational strategies in promoting the L2 motivation of Saudi learners in their EFL classes. The study conducted empirical investigations over two stages. In the first stage, the study utilised a 53-item questionnaire survey among 119 EFL teachers in Saudi Arabia by which they were asked to rate strategies in terms of how important they consider each for enhancing students’ motivation in the language classroom. Based on the participating teachers’ responses, the rank order of the macro strategies in this survey was obtained. The top 10 motivational single strategies that were implemented in the Saudi EFL classes at the second stage of the experiment were also identified. In the second stage, 296 EFL students and 14 teachers were involved. Students were randomly divided into two groups: an experimental group that was exposed to the 10 pre-selected motivational strategies in their classes by seven teachers, and a control group in which the other seven teachers followed the traditional way of teaching. The treatment continued over the duration of one semester/school term of study. Motivation questionnaires were administered to students at the start and the end of the experimental period. In addition, a classroom observation protocol and a teacher post-lesson evaluation protocol were used to assess the teachers’ motivational practices and students’ motivated behaviours in the classroom. The statistical analyses of the data clearly showed a significant rise in motivational levels for students in the experimental, but not the control group. The results of the study therefore provide compelling evidence that teachers’ motivational behaviours do lead to enhanced motivation in their L2 learners

Fakieh, “Strongly principal ideals of rings with involution

Abstract The notion of strongly principal ideal groups for associative rings was introduced in Mathematics Subject Classification: 16W1

Fractional Linear Regression Equation in Agricultural Disaster Assessment Model Based on Geographic Information System Analysis Technology

This article combines geographic information system (GIS) technology and database technology to analyse agricultural, natural disasters. The article uses a fractional linear regression equation to define the comprehensive intensity grading standard of the disaster-causing factors of torrential rain. At the same time, we use GIS to superimpose the agricultural vulnerability index into the storm disaster risk zoning to obtain the degree of agricultural impact under different levels of risk. At the end of the thesis, the model is applied to actual case analysis to verify the effectiveness of the algorithm model